83200009 has 2 divisors, whose sum is σ = 83200010. Its totient is φ = 83200008.

The previous prime is 83199973. The next prime is 83200037. The reversal of 83200009 is 90000238.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 44262409 + 38937600 = 6653^2 + 6240^2 .

It is a cyclic number.

It is not a de Polignac number, because 83200009 - 2⁹ = 83199497 is a prime.

It is not a weakly prime, because it can be changed into another prime (83200079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41600004 + 41600005.

It is an arithmetic number, because the mean of its divisors is an integer number (41600005).

Almost surely, 2^83200009 is an apocalyptic number.

It is an amenable number.

83200009 is a deficient number, since it is larger than the sum of its proper divisors (1).

83200009 is an equidigital number, since it uses as much as digits as its factorization.

83200009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 83200009 is about 9121.4038941382. The cubic root of 83200009 is about 436.5571689657.

The spelling of 83200009 in words is "eighty-three million, two hundred thousand, nine".